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55661437153 = 729715977333
BaseRepresentation
bin110011110101101011…
…100010000011100001
312022200010210222101101
4303311223202003201
51402443311442103
641323121434401
74010225260300
oct636553420341
9168603728341
1055661437153
1121673480633
12a954a9ba01
13533095833a
1429a05ac437
1516ab902a1d
hexcf5ae20e1

55661437153 has 24 divisors (see below), whose sum is σ = 65466422952. Its totient is φ = 47181947904.

The previous prime is 55661437133. The next prime is 55661437157. The reversal of 55661437153 is 35173416655.

55661437153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1159266304 + 54502170849 = 34048^2 + 233457^2 .

It is not a de Polignac number, because 55661437153 - 25 = 55661437121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55661437157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7586875 + ... + 7594207.

It is an arithmetic number, because the mean of its divisors is an integer number (2727767623).

Almost surely, 255661437153 is an apocalyptic number.

It is an amenable number.

55661437153 is a deficient number, since it is larger than the sum of its proper divisors (9804985799).

55661437153 is a wasteful number, since it uses less digits than its factorization.

55661437153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9041 (or 9034 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 46.

The spelling of 55661437153 in words is "fifty-five billion, six hundred sixty-one million, four hundred thirty-seven thousand, one hundred fifty-three".

Divisors: 1 7 49 97 679 1597 4753 7333 11179 51331 78253 154909 359317 711301 1084363 4979107 7590541 11710801 34853749 81975607 573829249 1135947697 7951633879 55661437153